Question

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Answer 1

Answer:

To find :–

i) Mass of the man.

ii) Mass of the moon.

iii) Gravity on the moon.

Formula applied :–

$\huge\boxed{{W=m×g}}$

Solution :–

First of all we will find out the mass of man on the earth. This can be done by using the formula : W=m×g

here,

Weight of the man on earth, W = 600 N

Mass of man on earth, m = ?

And,

Acceleration due to gravity(on earth), g = 10ms-²

Now,

Putting these values in the above formula, we get :

$600 = m \times 10$

$m = \frac{600}{10}$

$m = 60 \: kg$

Thus, the mass of man on the earth is 60 kilometers. Now, the mass of a body remains the same everywhere in the universe. So, the mass of this man on the moon will also be 60 kilometers.

We will now calculate the value of acceleration due to gravity on the moon by using the same formula :

W = m × g

Now,

Weight of man on the moon, W = 100 N

Mass of the man on moon, m = 60 kg

And, Acceleration due to gravity(on the moon), g = ?

By putting these values in the above formula, we get :

$100 = 60 \times g$

So,

$g = \frac{100}{60}$

$g = 1.66 \: m {s}^{ - 2}$

Thus, the acceleration due to gravity on the surface of the moon is 1.66 ms-²

Answer 2

$\huge\bigstar\underline\mathfrak{Answer:-}$

$\large\sf\underline\pink{To\:Find:-}$

• Mass of the moon
• Gravity of the moon
• Mass of the man

$\large\sf\underline\red{Formula:-}$

$\huge\boxed{\fcolorbox{cyan}{aqua}{W\:=\:m\:×\:g}}$

$\large\sf\underline\purple{Now,}$

Weight of the man on earth, W = 600 N

Mass of man on earth, m = ?

$\large\sf\underline\blue{And,}$

Acceleration due to gravity(on earth), g = 10ms-²

$\large\sf\underline\pink{Now,}$

Putting these values in the above formula, we get :

$\sf\red{600\:=\:m \times\:10}$

$\sf\purple{m\:= \frac{600}{10}}$

$\sf\green{m\:=\:60\:kg}$

$\Large\sf\underline\blue{Thus,}$

the mass of man on the earth is 60 kilometers. Now, the mass of a body remains the same everywhere in the universe.

So, the mass of this man on the moon will also be 60 kilometers.

We will now calculate the value of acceleration due to gravity on the moon by using the same formula :

$\huge\boxed{\fcolorbox{cyan}{aqua}{W\:=\:m\:×\:g}}$

$\large\sf\underline\green{Now,}$

Weight of man on the moon, W = 100 N

Mass of the man on moon, m = 60 kg

And, Acceleration due to gravity(on the moon), g = ?

By putting these values in the above formula, we get :

$\sf\blue{100 = 60 \times g}$

$\large\sf\underline\red{So,}$

$\sf\purple{g = \frac{100}{60}}$

$\sf\pink{g = 1.66 {ms }^{ -2}}$

Thus, the acceleration due to gravity on the surface of the moon is 1.66 ms-²